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Finding the Third Proportional to 131,508 and 188,042.63

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Solution

The third proportional to 131,508 and 188,042.63 is: 268,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,508 : 188,042.63 = 188,042.63 : x
  2. Step 2: Convert to fraction form
    131,508/188,042.63 = 188,042.63/x
  3. Step 3: Cross multiply
    131,508x = 188,042.63 × 188,042.63
  4. Step 4: Simplify right side
    131,508x = 35,360,028,816.89
  5. Step 5: Solve for x
    x = 35,360,028,816.89/131,508
  6. Step 6: Final answer
    x = 268,881.20

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.